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Simplifying 9(x + 16) + 2(x + -6) = 209 Reorder the terms: 9(16 + x) + 2(x + -6) = 209 (16 * 9 + x * 9) + 2(x + -6) = 209 (144 + 9x) + 2(x + -6) = 209 Reorder the terms: 144 + 9x + 2(-6 + x) = 209 144 + 9x + (-6 * 2 + x * 2) = 209 144 + 9x + (-12 + 2x) = 209 Reorder the terms: 144 + -12 + 9x + 2x = 209 Combine like terms: 144 + -12 = 132 132 + 9x + 2x = 209 Combine like terms: 9x + 2x = 11x 132 + 11x = 209 Solving 132 + 11x = 209 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-132' to each side of the equation. 132 + -132 + 11x = 209 + -132 Combine like terms: 132 + -132 = 0 0 + 11x = 209 + -132 11x = 209 + -132 Combine like terms: 209 + -132 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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